Equidistribution towards the Green current for holomorphic maps
Tien-Cuong Dinh, Nessim Sibony (2008)
Annales scientifiques de l'École Normale Supérieure
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Let be a non-invertible holomorphic endomorphism of a projective space and its iterate of order . We prove that the pull-back by of a generic (in the Zariski sense) hypersurface, properly normalized, converges to the Green current associated to when tends to infinity. We also give an analogous result for the pull-back of positive closed -currents and a similar result for regular polynomial automorphisms of .